All categories

3 years ago

All vectors and subspaces are in RnR n. Mark each statement True or False. Justify each answer.

Mathematics

1 answer:

Leto [7]3 years ago

4 0

Answer:

a. True

b. True

c. False

d. False

e. False

Step-by-step explanation:

The matrix with orthonormal column must be in square for that it forms orthogonal matrix. Every orthonormal set of non zero vector is linearly independent. This statement is correct because there is linear combination of non zero vectors.

You might be interested in

A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it

garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

Step (i):-

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

Step(ii):-

Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

Alternative hypothesis :H₁:

'μ' <18min

Level of significance : ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }$

t = 2.9272

Step(iii):-

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at 5% significance level of significance

Conclusion:-

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0

3 years ago

A rectangular piece of gift wrap is 5.5 inches by 2.1 inches. What is the area of the gift wrap? ( hint: use A = lw

mart [117]

You're given that the formula for area is lw, and you're given the l and w values. So just plug them in. They have the same unit of measurement (inches) so you can just multiply.

A = lw
A = (5.5)(2.1)
A = 11.55 in²

5 0

3 years ago

Which property is used in the problem below? 2(x+4)=2x+8 the associative property the commutative property the distributive prop

Serga [27]

The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.

The distributive property does this:
2 times x plus 2 times 4.

2 times x = 2x
2 times 4 = 8.

So the answer is 2x+8.

C) Distributive property is right.

6 0

3 years ago

Read 2 more answers

What is the percent of 840 is 546

lesantik [10]

K so its an equation 546 x
over = over
840 100
when u do cross multiplication it will be 840x=546 * 100
x is about 64%
Hope this is helpful

4 0

3 years ago

What = 102 answer plz

blsea [12.9K]

100+2 or 50+52 these would both work

6 0

3 years ago

Read 2 more answers